Question 859875
1. 8x²-22x+5  
Factor 
Grouping
we will factor by grouping
we want factors of 8*5 which add up to -22
-20 and -2
8x²-22x+5
now we will group
8x^2-2x-20x+5
now find the greatest common factor (GCF )
2x(4x-1)-5(4x-1)
group
(2x-5)*(4x-1)
which FOILS back to
8x²-22x+5

2. 12m²n²-8mn+1 
faxtors of 12 which add up to -8
(2mn-1) (6mn-1) 

3. w³-3w²-18w
we want factors of -18 which add up to -3
-6 and +3
(w-6)*(w+3)

Factor 
GCF 
Prime factors
Perfect square 
Grouping